An income-producing property generates a net operating income of $48,000 annually and was purchased for $600,000. What is the capitalization rate?
Correct Answer
B) 8.0%
Capitalization rate is calculated as NOI ÷ Value: $48,000 ÷ $600,000 = 0.08 or 8.0%.
Why This Is the Correct Answer
Option B is correct because the capitalization rate formula is NOI ÷ Property Value = Cap Rate. Using the given figures: $48,000 (NOI) ÷ $600,000 (purchase price) = 0.08 = 8.0%. This straightforward division gives us the annual rate of return the property generates based on its net operating income. The calculation is fundamental to income approach valuation and represents the yield an investor receives on their investment.
Why the Other Options Are Wrong
Option A: 12.5%
Option A (12.5%) results from incorrectly calculating the reciprocal or using wrong figures in the formula, possibly confusing cap rate with gross rent multiplier calculations or making arithmetic errors.
Option C: 6.25%
Option C (6.25%) appears to result from inverting the calculation or using incorrect mathematical operations, possibly dividing the smaller number by the larger incorrectly.
Option D: 7.2%
Option D (7.2%) suggests computational errors or confusion with other real estate ratios, possibly mixing up different percentage calculations used in property analysis.
NOI Over Value (NOV)
Remember 'NOV' - NOI Over Value = Cap Rate. Think 'November' to remember NOI goes on top (numerator) and Value goes on bottom (denominator).
How to use: When you see a cap rate question, immediately think 'NOV' and set up the fraction: NOI (top) ÷ Value (bottom) = Cap Rate percentage.
Exam Tip
Always double-check that you're using NOI (not gross income) and that you convert the decimal result to a percentage by multiplying by 100 or moving the decimal point two places to the right.
Common Mistakes to Avoid
- -Using gross income instead of net operating income
- -Forgetting to convert the decimal result to a percentage
- -Inverting the formula by dividing value by NOI instead of NOI by value
Concept Deep Dive
Analysis
The capitalization rate (cap rate) is a fundamental metric in real estate valuation that measures the relationship between a property's net operating income and its market value or purchase price. It represents the rate of return an investor can expect from a property based on the income it generates, assuming the property was purchased with cash. The cap rate is expressed as a percentage and is calculated by dividing the annual net operating income by the property value. This metric allows investors and appraisers to compare different investment properties and assess their relative profitability and risk levels.
Background Knowledge
The capitalization rate is one of three primary approaches to real estate valuation (along with sales comparison and cost approaches) and is central to the income approach. Understanding that NOI represents the property's annual income after operating expenses but before debt service and taxes is crucial for accurate cap rate calculations.
Real-World Application
Appraisers use cap rates to value income-producing properties by applying market-derived cap rates to a subject property's NOI. For example, if comparable properties sell at 8% cap rates and your subject property has $50,000 NOI, the indicated value would be $50,000 ÷ 0.08 = $625,000.
More Math & Stats Questions
What is the area of a triangular lot with a base of 120 feet and a height of 80 feet?
An irregular lot has the following measurements: Side A = 100', Side B = 150', Side C = 120', Side D = 180'. If the lot can be divided into two rectangles (100' × 150' and 120' × 30'), what is the total area?
A property has a potential gross income of $180,000, vacancy and collection loss of 7%, and operating expenses of $65,000. What is the NOI?
A property generates $120,000 in net operating income and is valued at $1,500,000. What is the capitalization rate?
A building has potential gross income of $180,000, vacancy and collection loss of 8%, and operating expenses of $54,000. What is the net operating income?
People Also Study
Valuation Principles & Procedures
25% of exam
Property Description & Analysis
20% of exam
Market Analysis & Highest/Best Use
15% of exam
USPAP (Ethics & Standards)
15% of exam
Report Writing & Compliance
10% of exam
Related Tools
Previous Question
Using the band of investment method, calculate the overall capitalization rate given: mortgage component 75% at 6.5% rate, equity component 25% at 12% rate.
Next Question
A property generates $95,000 in potential gross income. With a 7% vacancy rate and $28,000 in operating expenses, what capitalization rate is indicated if the property is worth $550,000?